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Finding the Fourth Proportional to 722.84, 997.34 and 408.11

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Solution

The fourth proportional to 722.84, 997.34 and 408.11 is: 563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.84 : 997.34 = 408.11 : x
  2. Step 2: Convert to fraction form
    722.84/997.34 = 408.11/x
  3. Step 3: Cross multiply
    722.84x = 997.34 × 408.11
  4. Step 4: Simplify right side
    722.84x = 407,017.40
  5. Step 5: Solve for x
    x = 407,017.40/722.84
  6. Step 6: Final answer
    x = 563.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.